Consideration of a primitive chaos

Yoshihito Ogasawara*, Shin'ichi Oishi

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

Since the chaos was discovered, it has been recognized that we are surrounded by diverse chaotic behaviors. The purpose of this study is to reconsider the implication of this fact through the notion of a primitive chaos. Under natural conditions, each primitive chaos leads to apparent chaotic features, such as the existence of a nonperiodic orbit, the existence of the periodic point whose prime period is n for any n ε N, the existence of a dense orbit, the density of periodic points, sensitive dependence on initial conditions, and topological transitivity, while infinite varieties of the primitive chaos are guaranteed by a nondegenerate Peano continuum.

本文言語English
論文番号103001
ジャーナルjournal of the physical society of japan
81
10
DOI
出版ステータスPublished - 2012 10月 1

ASJC Scopus subject areas

  • 物理学および天文学一般

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